Question

The reduced row echelon form of a system of linear equations is given.Write the system of equations corresponding to the given matrix. Use x, y; or x,

Forms of linear equations
ANSWERED
asked 2021-06-30

The reduced row echelon form of a system of linear equations is given.Write the system of equations corresponding to the given matrix. Use \(x, y\); or \(x, y, z;\) or \(x_{1},x_{2},x_{3},x_{4} \) as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution.
\([1,0;1,0;5,-1]\)

Answers (1)

2021-07-01

Convert the matrix to a system of equations, using the numbers in the first column as coefficients for x and numbers in the second column as coefficients for y.
\(x=5\)
\(y=-1\)
The system is consistent because there are no equations,or combination of equations, that are false for all real values of the variables. consistent
In this case, the solution is the system of equations. \(x=5\)
\(y=-1\)

0
 
Best answer

expert advice

Have a similar question?
We can deal with it in 3 hours

Relevant Questions

asked 2021-08-16

The reduced row echelon form of a system of linear equations is given.Write the system of equations corresponding to the given matrix. Use x, y. or x, y, z. or \(x_1, x_2, x_3, x_4\) as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution.
\(\begin{bmatrix}1 & 0 & 0 & 0 & 1\\ 0 &1 & 0 &0 & 2 \\ 0 & 0 & 1 & 2 & 3 \end{bmatrix}\)

asked 2021-06-28

The reduced row echelon form of a system of linear equations is given.Write the system of equations corresponding to the given matrix. Use x, y; or x, y, z; or \(x_1,x_2,x_3,x_4\) as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. \(\left[\begin{array}{ccc|c}{1} & {0} & {4} & {4} \\ {0} & {1} & {3} & {2} \\ {0} & {0} & {0} & {0}\end{array}\right]\)

asked 2021-06-29

The reduced row echelon form of a system of linear equations is given.Write the system of equations corresponding to the given matrix. Use x, y; or x, y, z; or \(x_1,x_2,x_3,x_4\) as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. \(\left[\begin{array}{cccc|c} 1&0&0&4&2\\0&1&1&3&3\\0&0&0&0&0 \end{array}\right]\)

asked 2021-05-08

The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x, y; or x, y, z; or \(x_1,x_2,x_3,x_4x\) ‚Äč as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. \(\begin{bmatrix}1&0&0&0&|&1 \\0&1&0&0&|&2 \\0&0&1&2&|&3 \end{bmatrix}\)

...